(a) Find the indicated partial derivatives for f(x,y,2) = xln(xyz') (1) fy (ii) fa (b) Use az az the Chain Rule to find and if as at () Z=tan u=2s+31, v =3s-21.

Q: Z = XY X-Y Find the partial derivative of Zxy= = Ans: Zxy: - 2xy (x-Y)³

A: Given: z=xyx-yWe need find zxy.

Q: 1 x⁹ Determine the derivative of h. Let h(x) h'(x) = = = 1 9 X 10 Determine the slope of h at x = 2.…

A: h(x)=

Q: Calculate the derivative of the function. f(x) = [(2x – 1)2 + (1 – x)°]? %3D f'(x) = %D

A: We will find the derivative using chain rule.

Q: Find a function y(æ) such that byy' = x and y(6) = 5. y =

A: y' = dy/dx y(6) = 5 means at x=6 => y=5

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

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A: In implicit differentiation write y' interns of x & y.

Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Find the derivative of y with respect to x using implicit differentiation in the equation *³y =…

A: We can find the derivative as below.

Q: Consider the variable coefficient linear non-homogeneous ODE where and where u and are unknown…

A: The given problem is to find the values of u' and v' for the which the particular solution yp =…

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table to compute the following derivatives. a. h'(4)…

A: In loose transaction of composite function u(v(x)), v is known as inside function and u is known as…

Q: Let g(x) = 6x³ + 7x7 +2r Determine the derivative of g. 70)- Determine the slope of g at = 1. g'(1)…

A:

Q: .) The instantaneous rateof change fucntion of f(x) = 4x² - 2x + 8 or the derivative of f(x) is: a.…

A: Given that: (i) f(x)=4x2-2x+8(ii)f(x)=sin x

Q: tind the derivatiues of given functions with respect tox. 12

A: Please refer to the image below

Q: Find the derivative of each of the following functions. a) f(r) - VE+-+ V2 +e" b) f(r) – (e*+2)ln(5…

A:

Q: Find the derivative of f(x) = (10z (1026 + =2 – 1)° f' (z) =

A: Given function

Q: x2 Find y' by implicit differentiation for: = y² – 6 x+y

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

A:

Q: Let f(z) = (-6z— 4) (9z — 1)

A: f(z)=(−6z−4)(9z−1)

Q: Let h(y) = (2y – 3)4 Determine the derivative of h. h'(y) 8 (2y-3) 5 ✓ h is differentiable on 05…

A:

Q: If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y =…

A:

Q: I. Find y', y" and y"" of the following functions. a. y = 2x-x'+ 5 b. y = (r²+2) x-1 II. Use the…

A: I. (a).y=2x4-x3+5diff w.r.t xdydx=2(4x3)-3x2+0y'=8x3-3x2diff w.r.t x…

Q: Which among the following functions has the derivative of h' (z) %3D (z - 2) On(z) %3D Oh(z) %3D (2…

A:

Q: Find the derivatives of the following Y= Canx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Differentiate given function at given value

Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

A: